Question

13. Simplify (p - 2) (p+1) (p – 4).​

Answer 1

Answer:

Step-by-step explanation:

(p-2) (p-1) (p-4)

(p*p+p*-1-2*p-2*-1) (p-4)

(P^2-p-2p+2)(p-4)

(p^2-3p+2)(p-4)

(p^2*p+p^2*-4-3p*p-3p*-4+2*p+2*-4)

(p^3-4p^2-3p^2+12p+2p-8)

(p^3-7p^2+14p-8)

Answer 2

Answer:

Comparing (p – 2) (p + 1) (p – 4) with (x + a) (x + b) (x + c) we have x = p ; a = -2; b = 1 ; c = -4. (x + a) (x + b) (x + c) = x3 + (a + b + c) x2 + (ab + be + ca) x + abc = p3 + (-2 + 1 + (-4))p2 + ((-2) (1) + (1) (-4) (-4) (-2)p + (-2) (1) (-4) = p3 + (-5 )p2 + (-2 + (-4) + 8)p + 8 = p3 – 5p2 + 2p + 8